Constraint Relaxation
Author: Tianjiang Shuo
Website: https://cislunarspace.cn
Definition
A technique that converts hard-to-satisfy strict constraints into weaker forms in an optimization problem. In low-energy transfer design, the original method requires exact intersection between the disturbed manifold's Poincare section and the target orbit's section in four-dimensional space, which is an over-constraint that hinders optimization. By introducing Lambert arc connections, the exact intersection constraint is relaxed to selecting the nearest points on the sections and connecting them via Lambert arcs, converting strict constraints into Delta-v terms in the objective function.
Application Value
A technique that converts hard-to-satisfy strict constraints into weaker forms in an optimization problem. In low-energy transfer design, the original method requires exact intersection between the disturbed manifold's Poincare section and the target orbit's section in four-dimensional space, which is an over-constraint that hinders optimization. By introducing Lambert arc connections, the exact intersection constraint is relaxed to selecting the nearest points on the sections and connecting them via Lambert arcs, converting strict constraints into Delta-v terms in the objective function.
Related Concepts
- Bivariate Gaussian Distribution
- Midcourse Impulse
- Zero-Thrust Reference Trajectory
- Co-state Variables
References
- 乔琛远和杨乐平 - 2024 - 地月L1点低能转移轨道设计与优化